Codeforces 591B Rebranding

B. Rebranding

time limit per test:2 seconds

memory limit per test:256 megabytes

input:standard input

output:standard output

The name of one small but proud corporation consists of n lowercase English letters. The Corporation has decided to try rebranding — an active marketing strategy, that includes a set of measures to change either the brand (both for the company and the goods it produces) or its components: the name, the logo, the slogan. They decided to start with the name.

For this purpose the corporation has consecutively hired m designers. Once a company hires the i-th designer, he immediately contributes to the creation of a new corporation name as follows: he takes the newest version of the name and replaces all the letters x_i by y_i, and all the letters y_i by x_i. This results in the new version. It is possible that some of these letters do no occur in the string. It may also happen that x_i coincides with y_i. The version of the name received after the work of the last designer becomes the new name of the corporation.

Manager Arkady has recently got a job in this company, but is already soaked in the spirit of teamwork and is very worried about the success of the rebranding. Naturally, he can't wait to find out what is the new name the Corporation will receive.

Satisfy Arkady's curiosity and tell him the final version of the name.

Input

The first line of the input contains two integers n and m (1 ≤ n, m ≤ 200 000) — the length of the initial name and the number of designers hired, respectively.

The second line consists of n lowercase English letters and represents the original name of the corporation.

Next m lines contain the descriptions of the designers' actions: the i-th of them contains two space-separated lowercase English letters x_i and y_i.

Output

Print the new name of the corporation.

Examples

Input

6 1
police
p m

Output

molice

Input

11 6
abacabadaba
a b
b c
a d
e g
f a
b b

Output

cdcbcdcfcdc

Note

In the second sample the name of the corporation consecutively changes as follows:

题目链接：http://codeforces.com/problemset/problem/591/B

这道题挺考思维的

详解：-1s1代表的本意abcdefg...0s1数组的下标和初始值0123456...1a-b1023456...2b-c1203456...3a-d3201456...4e-g3201654...5f-a5201634...6b-b5201634...7s1数组里面最终包含的值所对应的字符fcabgde...

 表二：

s2数组代表的本意	a	b	c	d	e	f	g	...
s2数组的下标	0	1	2	3	4	5	6	...
s2数组里面存的值	2	3	1	5	6	0	4	...
s2数组里面最终包含的值所对应的字符	c	d	b	f	g	a	e	...

 定义两个int类型数组来保存26个英文字母所表示的标号，可以开辟30个空间，s1[30] , s2[30]; 第一次交换ch1='a'与ch2='b' ，就交换s1数组里s1[ch1-'a']与s1[ch2-'a']的值，之后的1-6做一样的操作；

肯定会有疑问，为什么要交换s1[ch1-'a']与s1[ch2-'a']的值？交换过后是代表第-1行所表示的字符转换为第7行所表示的字符吗？

其实不是，如果你认为交换过后就是代表“第-1行所表示的字符转换为第7行所表示的字符”是错误的。

每次交换你可以看做   例如：表三：

-1	s1代表的本意	a	b	c	d	e	f	g	...
0	s1数组的下标和初始值	0	1	2	3	4	5	6	...
1	a-b	1	0	2	3	4	5	6	...
	数组的值+'a'转换为相应的字符	b	a	c	d	e	f	g	...
	其实交换过后代表	字符'a'是由字符'b'转化而来	字符'b'是由字符'a'转化而来
2	b-c	1	2	0	3	4	5	6	...
	数组的值+'a'转换为相应的字符	b	c	a	d	e	f	g	...
		字符'a'是由字符'b'转化而来	字符'b'是由字符'c'转化而来	字符'c'是由字符'a'转化而来

 你可以想想是不是这样的；这只是举了两个例子；

也就是说表四：

-1	s1代表的本意	a	b	c	d	e	f	g	......
	s1数组的下标和初始值	0	1	2	3	4	5	6	......
7	s1数组里面最终包含的值所对应的字符	f	c	a	b	g	d	e	......
	s1数组里面最终的值	5	2	0	1	6	3	4
	结论	字符'a'是由字符'f'转化而来	字符'b'是由字符'c'转化而来	字符'c'是由字符'a'转化而来	字符'd'是由字符'b'转化而来	字符'e'是由字符'g'转化而来	字符'f'是由字符'd'转化而来	字符'g'是由字符'e'转化而来	......
	推论	字符'f'最终转化为'a'	字符'c'最终转化为'b'	字符'a'最终转化为'c'	字符'd'最终转化为'b'	字符'g'最终转化为'e'	字符'd'最终转化为'f'	字符'e'最终转化为'g'	......

我们现在已经知道字符最终由哪个字符转化而来，也就是说我们得出的是，知道最终的字符，我们能找到它是由哪个最初的字符转换而来的，之后的怎么办呢？ 我们需要转化为 题意给出了最初字符，能找到他最终要转换为哪个字符  这个就要好好思考一下怎么转换了！

其实定义两个数组，可以理解为，表四：  做这样的处理： 之后就变为表二： 

 

for(i=0; i<26; i++)
     s2[s1[i]]=i;

 

 为什么要这样处理呢？这样处理过后就会简化很多；再加上下面这个步骤，这道题就算是解决了；

1 for(i=0; i<n; i++)
2 {
3    str[i]=s2[str[i]-'a']+'a';
4 }

附上AC代码：

 1 #include<bits/stdc++.h>
 2 using namespace std;
 3 #define N 2000010
 4 int main()
 5 {
 6     char str[N],ch1,ch2;
 7     int s1[30],s2[30];
 8     int n,m,i,x,y,t;
 9     while(scanf("%d%d",&n,&m)!=EOF)
10     {
11         scanf("%s",str);
12         for(i=0;i<26;i++)
13             s1[i]=i;
14         for(i=0;i<m;i++)
15         {
16             scanf(" %c %c", &ch1, &ch2);
17             x=ch1-'a';
18             y=ch2-'a';
19             t=s1[x];
20             s1[x]=s1[y];
21             s1[y]=t;
22         }
23         for(i=0;i<26;i++)
24             s2[s1[i]]=i;
25         for(i=0;i<n;i++)
26         {
27             str[i]=s2[str[i]-'a']+'a';
28         }
29         printf("%s\n",str);
30     }
31     return 0;
32 }