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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.StringTokenizer;

public class a {
	public static void main(String[] args) throws IOException {
		FastScanner in = new FastScanner(System.in);
		String s = in.next();
		int n = s.length();
		for(int i=0;i<n;i++) {
			for(int j=0;j<26;j++) {
				if((char)(j+'a') == s.charAt(i)) continue;
				char[] cs = s.toCharArray();
				cs[i] = (char) ('a'+j);
				if(palindrome(new String(cs))) {
					System.out.println("YES");
					return;
				}
			}
		}
		System.out.println("NO");
	}
	static boolean palindrome(String s) {
		for(int i=0;i<s.length();i++) {
			if(s.charAt(i) != s.charAt(s.length()-1-i))
				return false;
		}
		return true;
	}
	static class FastScanner {
	    BufferedReader br;
	    StringTokenizer st;
	    public FastScanner(InputStream i) {
	        br = new BufferedReader(new InputStreamReader(i));
	    }
	    public String next() throws IOException {
	        while(st == null || !st.hasMoreTokens())
	            st = new StringTokenizer(br.readLine());
	        return st.nextToken();
	    }
	    public int nextInt() throws IOException {
	        return Integer.parseInt(next());
	    }
	    public long nextLong() throws IOException {
	        return Long.parseLong(next());
	    }
	    public double nextDouble() throws IOException {
	        return Double.parseDouble(next());
	    }
	}
}