Codeforces Round #286 (Div. 2) A. Mr. Kitayuta's Gift

A. Mr. Kitayuta's Gift

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Mr. Kitayuta has kindly given you a string s consisting of lowercase English letters. You are asked to insert exactly one lowercase English letter into s to make it a palindrome. A palindrome is a string that reads the same forward and backward. For example, "noon", "testset" and "a" are all palindromes, while "test" and "kitayuta" are not.

You can choose any lowercase English letter, and insert it to any position of s, possibly to the beginning or the end of s. You have to insert a letter even if the given string is already a palindrome.

If it is possible to insert one lowercase English letter into s so that the resulting string will be a palindrome, print the string after the insertion. Otherwise, print "NA" (without quotes, case-sensitive). In case there is more than one palindrome that can be obtained, you are allowed to print any of them.

Input

The only line of the input contains a string s (1 ≤ |s| ≤ 10). Each character in s is a lowercase English letter.

Output

If it is possible to turn s into a palindrome by inserting one lowercase English letter, print the resulting string in a single line. Otherwise, print "NA" (without quotes, case-sensitive). In case there is more than one solution, any of them will be accepted.

Examples

input

revive

output

reviver

input

ee

output

eye

input

kitayuta

output

NA

Note

For the first sample, insert 'r' to the end of "revive" to obtain a palindrome "reviver".

For the second sample, there is more than one solution. For example, "eve" will also be accepted.

For the third sample, it is not possible to turn "kitayuta" into a palindrome by just inserting one letter.

这道题当初比赛的时候没写出来，有思路但是卡在那里了。

这道题的思路就是先从外往里不断判断，遇到不同时错位一下，继续比较。

如果比较发现剩下的部分是一个回文串的话，那么在输出时加上缺少的字符即可。

还有记得判断当原本的字符串就是回文串的情况，这种情况下可以把中间的字符输出两次。

AC代码：

#include<iostream>#include<algorithm>#include<cstring>#include<string>using namespace std;char s[111];bool check(int i,int j){while(i<=j){if(s[i]!=s[j])return 0;i++;j--;}return 1;}int main(){cin>>s;int len=strlen(s);for(int i=0;i<=len/2;i++){if(s[i]!=s[len-1-i]){if(check(i+1,len-1-i)){for(int k=0;k<len-i;k++)cout<<s[k];cout<<s[i];for(int k=len-i;k<len;k++)cout<<s[k];return 0;}else if(check(i,len-i-2)){for(int k=0;k<i;k++)cout<<s[k];cout<<s[len-1-i];for(int k=i;k<len;k++)cout<<s[k];return 0;}elsebreak;}}if(check(0,len-1)){for(int k=0;k<len/2;k++)cout<<s[k];cout<<s[len/2];for(int k=len/2;k<len;k++)cout<<s[k];return 0;}cout<<"NA"<<endl;return 0;}