Problem: Mike has a string s consisting of only lowercase English letters. He wants to change exactly one character from the string so that the resulting one is a palindrome. 

A palindrome is a string that reads the same backward as forward, for example strings "z", "aaa", "aba", "abccba" are palindromes, but strings "codeforces", "reality", "ab" are not.

Input

The first and single line contains string s (1 ≤ |s| ≤ 15).

Output

Print "YES" (without quotes) if Mike can change exactly one character so that the resulting string is palindrome or "NO" (without quotes) otherwise. 

Examples

Input

abccaa


Output

YES


Input

abbcca


Output

NO


Input

abcda


Output

YES

Solution (in JAVA):

Solution:
/* package whatever; // don't place package name! */

import java.util.*;
import java.lang.*;
import java.io.*;

/* Name of the class has to be "Main" only if the class is public. */
public final class Ideone
{
	public static String check(String s){
		if(s.charAt(0) == s.charAt(s.length()-1)) {
			if(s.length() == 1){return "YES";}
			else
			if(s.length()>2)
			return check(s.substring(1,s.length()-1));
			else
			return "NO";
		}
		else {
			if(s.length()>2){
				if (ispalindrome(s.substring(1,s.length()-1))){
					return "YES";
				}
				else return "NO";
			}
			else return "YES";
			}
	}
	static boolean ispalindrome(String s){
		String rev = new StringBuilder(s).reverse().toString();
		return s.equals(rev);
	}
	public static void main (String[] args) throws java.lang.Exception
	{
		// your code goes here
		String s;
		Scanner inp = new Scanner(System.in);
		s= inp.next();
		System.out.println(check(s));
	}
}