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.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class MikeAndPalindrome {
	public static void main(String[] args) {
		out = new PrintWriter(new BufferedOutputStream(System.out));
		Reader in = new Reader();
		char[] a = in.read().toCharArray();
		int len = a.length, count = 0, j = len - 1;
		for(int i = 0; i < len && j >= i; i++ , j--)
			if(a[i] != a[j]) count++;
		if(count == 1 || (count == 0 && len % 2 == 1))
			out.println("YES");
		else out.println("NO");
		in.close();
		out.close();
	}
	static PrintWriter out;
	static class Reader {
		BufferedReader br;
		StringTokenizer st;
		public Reader() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}
		String read() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}
		int readInt() {
			return Integer.parseInt(read());
		}
		long readLong() {
			return Long.parseLong(read());
		}
		double readDouble() {
			return Double.parseDouble(read());
		}
		char readChar() {
			return read().charAt(0);
		}
		int[] readIntArray(int n) {
			int[] a = new int[n];
			for (int i = 0; i < n; i++)
				a[i] = readInt();
			return a;
		}
		long[] readLongArray(int n) {
			long[] a = new long[n];
			for (int i = 0; i < n; i++)
				a[i] = readLong();
			return a;
		}
		double[] readDoubleArray(int n) {
			double[] a = new double[n];
			for (int i = 0; i < n; i++)
				a[i] = readDouble();
			return a;
		}
		String[] readStringArray(int n) {
			String[] s = new String[n];
			for (int i = 0; i < n; i++)
				s[i] = read();
			return s;
		}
		char[] readCharArray(int n) {
			char[] ch = new char[n];
			for (int i = 0; i < n; i++)
				ch[i] = readChar();
			return ch;
		}
		String readLine() {
			String str = "";
			try {
				str = br.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}
		void close() {
			try {
				br.close();
			} catch (IOException e) {
				e.printStackTrace();
			}
		}
	}
}