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

public class Main {
    public void solve(Scanner in, PrintWriter out) {
        String s = in.nextLine();
        int n = s.length() - 1;
        int flag = 0;
        String ss = new StringBuffer(s).reverse().toString();
        if(ss.equals(s) && s.length() % 2 == 0) {
             out.println("NO");
             return;
        }
        for(int k = 0; k <= n; k++) {
            char alf = 'a';
            char[] c = s.toCharArray();
            for(int i = 0; i < 26; i++) {
                // check polindrome
                for(int j = n; j >= 0; j--) {
                    if(c[j] != c[n - j]) {
                        flag = 0;
                        break;        
                    }
                    flag = 1;
                }
                if(flag == 1) {
                    out.println("YES");
                    return;
                }
                // set polindrome
                c[k] = alf;
                alf++;
            }
        }
        out.println("NO");
    }
    public void run() {
        try(Scanner in = new Scanner(System.in);
            PrintWriter out = new PrintWriter(System.out); ) {
            solve(in, out);
        }
    }
    public static void main(String[] args) {
        new Main().run();
    }
}