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 PYTHON):

Solution:
#from __future__ import division
import itertools
from fractions import gcd
from math import sqrt
from bisect import bisect_left , bisect_right
import heapq
from collections import deque , defaultdict , Counter
from itertools import combinations as C
def Ls():
	return list(raw_input())
def get(a):
	return map(a , raw_input().split())
def Int():
	return int(raw_input())
def Str():
	return raw_input()

a = Ls()
st = 'abcdefghijklmnopqrstuvwxyz'
fg = False
for i in xrange(len(a)):
	tmp = a[:]
	at = tmp[i]
	for j in st:
		if j != at:
			tmp[i] = j
			if tmp == tmp[::-1]:
				fg = True
			tmp[i] = at

if fg:
	print 'YES'
else:	print 'NO'